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Estimating the transition dynamics of controlled Markov chains is crucial in fields such as time series analysis, reinforcement learning, and system exploration. Traditional non-parametric density estimation methods often assume independent…

Statistics Theory · Mathematics 2025-05-21 Imon Banerjee , Vinayak Rao , Harsha Honnappa

Mechanistic Interpretability (MI) aims to reverse-engineer model behaviors by identifying functional sub-networks. Yet, the scientific validity of these findings depends on their stability. In this work, we argue that circuit discovery is…

Machine Learning · Computer Science 2026-02-04 Maxime Méloux , François Portet , Maxime Peyrard

In the analyses of cluster-randomized trials, mixed-model analysis of covariance (ANCOVA) is a standard approach for covariate adjustment and handling within-cluster correlations. However, when the normality, linearity, or the…

Methodology · Statistics 2023-10-10 Bingkai Wang , Michael O. Harhay , Jiaqi Tong , Dylan S. Small , Tim P. Morris , Fan Li

Stochastic models are often used to help understand the behavior of intracellular biochemical processes. The most common such models are continuous time Markov chains (CTMCs). Parametric sensitivities, which are derivatives of expectations…

Numerical Analysis · Mathematics 2014-11-19 Elizabeth Skubak Wolf , David F. Anderson

Accurate condition monitoring of industrial equipment requires inferring latent degradation parameters from indirect sensor measurements under uncertainty. While traditional Bayesian methods like Markov Chain Monte Carlo (MCMC) provide…

Machine Learning · Computer Science 2026-04-23 Peter Collett , Alexander Johannes Stasik , Simone Casolo , Signe Riemer-Sørensen

A new Bayesian modelling framework is introduced for piece-wise homogeneous variable-memory Markov chains, along with a collection of effective algorithmic tools for change-point detection and segmentation of discrete time series. Building…

Methodology · Statistics 2025-01-14 Valentinian Lungu , Ioannis Papageorgiou , Ioannis Kontoyiannis

In developing data-driven modeling methodologies, there is an ongoing need to reconcile the strong predictive performance of opaque black-box models with the transparency required for critical applications. This work introduces an…

Machine Learning · Statistics 2026-05-21 Xin Huang , Jia Li , Jun Yu

Evaluation and testing are critical for the development of Automated Vehicles (AVs). Currently, companies test AVs on public roads, which is very time-consuming and inefficient. We proposed the Accelerated Evaluation concept which uses a…

Systems and Control · Computer Science 2017-01-31 Zhiyuan Huang , Ding Zhao , Henry Lam , David J. LeBlanc , Huei Peng

Unbinned likelihood fits aim at maximizing the information one can extract from experimental data, yet their application in realistic statistical analyses is often hindered by the computational cost of profiling systematic uncertainties.…

High Energy Physics - Phenomenology · Physics 2026-02-16 Davide Valsecchi , Mauro Donegà , Rainer Wallny

The problem of detecting the Out-of-Distribution (OoD) inputs is of paramount importance for Deep Neural Networks. It has been previously shown that even Deep Generative Models that allow estimating the density of the inputs may not be…

Machine Learning · Statistics 2023-01-02 Misha Glazunov , Apostolis Zarras

This paper presents an adaptive resonance theory predictive mapping (ARTMAP) model which uses incremental cluster validity indices (iCVIs) to perform unsupervised learning, namely iCVI-ARTMAP. Incorporating iCVIs to the decision-making and…

Machine Learning · Computer Science 2020-08-25 Leonardo Enzo Brito da Silva , Nagasharath Rayapati , Donald C. Wunsch

Rate of Penetration (ROP) prediction is critical for drilling optimization yet remains challenging due to the nonlinear, dynamic, and heterogeneous characteristics of drilling data. Conventional empirical, physics-based, and standard…

Machine Learning · Computer Science 2025-11-10 Saddam Hussain Khan

Attention Deficit Hyperactivity Disorder (ADHD) is a highly prevalent neurodevelopmental condition; however, its neurobiological diagnosis remains challenging due to the lack of reliable imaging-based biomarkers, particularly anatomical…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Qurat Ul Ain , Alptekin Temizel , Soyiba Jawed

The computational burden and inherent redundancy of large-scale datasets challenge the training of contemporary machine learning models. Data pruning offers a solution by selecting smaller, informative subsets, yet existing methods…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Feiyang Kang , Nadine Chang , Maying Shen , Marc T. Law , Rafid Mahmood , Ruoxi Jia , Jose M. Alvarez

The typically rugged nature of molecular free energy landscapes can frustrate efficient sampling of the thermodynamically relevant phase space due to the presence of high free energy barriers. Enhanced sampling techniques can improve phase…

Biomolecules · Quantitative Biology 2023-08-21 Nicholas S. M. Herringer , Siva Dasetty , Diya Gandhi , Junhee Lee , Andrew L. Ferguson

A robust $hp$-adaptive finite element framework is presented for the investigation of static cracks in materials characterized by complex, pointwise density variations. Within such heterogeneous media, the equilibrium equation governed by…

Numerical Analysis · Mathematics 2025-12-29 S. M. Mallikarjunaiah

Sensitivity analysis is a process of computing sensitivity indices, which are certain measures of importance of parameters in influencing the outputs of mathematical models. Sensitivity indices computed in variance-based sensitivity…

Computation · Statistics 2013-10-04 Tomasz Badowski

This paper proposes an early detection method for cluster structural changes. Cluster structure refers to discrete structural characteristics, such as the number of clusters, when data are represented using finite mixture models, such as…

Machine Learning · Statistics 2024-03-28 Kento Urano , Ryo Yuki , Kenji Yamanishi

Wind turbine reliability is critical to the growing renewable energy sector, where early fault detection significantly reduces downtime and maintenance costs. This paper introduces a novel ensemble-based deep learning framework for…

Machine Learning · Computer Science 2025-10-20 Rekha R Nair , Tina Babu , Alavikunhu Panthakkan , Balamurugan Balusamy , Wathiq Mansoor

Variational dimensionality reduction methods are widely used for their accuracy, generative capabilities, and robustness. We introduce a unifying framework that generalizes both such as traditional and state-of-the-art methods. The…

Machine Learning · Computer Science 2025-09-04 Eslam Abdelaleem , Ilya Nemenman , K. Michael Martini